Finite volume schemes for Boussinesq type equations
Classical Physics
2020-01-13 v1 Computational Physics
Fluid Dynamics
Abstract
Finite volume schemes are commonly used to construct approximate solutions to conservation laws. In this study we extend the framework of the finite volume methods to dispersive water wave models, in particular to Boussinesq type systems. We focus mainly on the application of the method to bidirectional nonlinear, dispersive wave propagation in one space dimension. Special emphasis is given to important nonlinear phenomena such as solitary waves interactions.
Keywords
Cite
@article{arxiv.1101.1728,
title = {Finite volume schemes for Boussinesq type equations},
author = {Denys Dutykh and Theodoros Katsaounis and Dimitrios Mitsotakis},
journal= {arXiv preprint arXiv:1101.1728},
year = {2020}
}
Comments
6 pages, 2 figures, 18 references. Published in proceedings of Colloque EDP-Normandie held at Caen (France), on 28 \& 29 October 2010. Other author papers can be dowloaded at http://www.lama.univ-savoie.fr/~dutykh/